I've been thinking about the problem for quite some time because I wanted something lighter than your averge hatchet.
Obviously answer comes by tilting weight forward.
Good designs are:
* khukri: most weight in front bent "forward"
* parang: same except bent "backward"
* japanese "nata": nice except they are generally chisel ground and while this is ok for chopping, it isn't so good for battoning
* cleaver: same except thinner
About fine work, I think this mostly a theoretical problem: no one said you ought to carry a single blade, if you can carry a big chopper, carrying a small utility knife like mora doesn't make much difference.
About "pointy" tip: also a little useless in my opinion: the main application for this is "pigsticking" unless you are boar hunting is quite unlikely. Thicker sturdy tips might have some applications (I think nata's square tips are used for digging and/or stripping bark).
I've also always been curious about "all steel" hatchets,
like this (one on top)
http://www.zlatoust-air.ru/shop/pub.../attachments/SC/products_pictures/45f_enl.jpg
but I guess these are not popular for a reason.
All in all, parang seems the best to me (great ergonomics, very flush, non recurve, forward balanced...)